Cambridge CIE IGCSE Past Papers and solutions.

Questions and Worked Solutions for IGCSE Maths 2021 0580/22 May/June Paper 2.

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IGCSE 2021 0580/22 May/June (pdf)

- The probability that Jane wins a game is 10/7.

(a) Find the probability that Jane does not win the game.

(b) Jane plays this game 50 times.

Find the number of times she is expected to win the game - Calculate
- Emma has 15 mathematics questions to complete.

The stem-and-leaf diagram shows the time, in minutes, it takes her to complete each question. - Write down an expression for the range of k consecutive integers
- (a) Henrik draws this scatter diagram.

(b) Each of the four scatter diagrams shows the same set of data.

A line has been drawn on each diagram. - A rhombus has side length 6.5cm.

The rhombus can be constructed by drawing two triangles.

Using a ruler and compasses only, construct the rhombus.

Leave in your construction arcs.

One diagonal of the rhombus has been drawn for you. - (a) Complete these statements.

The reciprocal of 0.2 is

A prime number between 90 and 100 is - a = b
^{2}/(5c) - Without using a calculator, work out 2/3 ÷ 1 3/7.

You must show all your working and give your answer as a fraction in its simplest form

- (a) Write 0.00654 in standard form.

(b) The number 1.467 x 10^{102}is written as an ordinary number.

Write down the number of zeros that follow the digit 7. - Write 0.04 as a fraction in its simplest form
- (a) E = {integers greater than 2}

A = {prime numbers}

B = {odd numbers}

C = {square numbers}

(i) Describe the type of numbers in the set B' ∩ C.

(ii) Complete the set labels on the Venn diagram

(b) Shade the region D' ∪ (E ∩ F)'. - A, B and C are points on a circle, centre O.

DA and DC are tangents.

Angle ADC = 44°.

Work out the value of x. - The diagram shows a trapezium.

The trapezium has one line of symmetry.

Work out the area of the trapezium. - Complete the table showing information about the congruence of pairs of triangles.

The first two rows have been completed for you.

All diagrams are not to scale. - A is the point (5, 7) and B is the point (9, -1).

(a) Find the length AB.

(b) Find the equation of the line AB - Find the gradient of the line that is perpendicular to the line 3y = 4x - 5.
- f(x) = x
^{2}- 25 - The diagram shows a shape made from an equilateral triangle ABC and a sector of a circle.

Points B and C lie on the circle, centre A.

The side length of the equilateral triangle is 12.4cm.

Work out the perimeter of the shape. - Expand and simplify

(x - 2)(2x + 5)(x + 3) - The force of attraction, F Newtons, between two magnets is inversely proportional to the square of the
distance, d cm, between the magnets.

When d = 1 5. , F = 48.

(a) Find an expression for F in terms of d.

(b) When the distance between the two magnets is doubled the new force is n times the original force.

Work out the value of n. - Simplify
- Find all the solutions of 4 3 sin x = for 0° ≤ x ≤ 360°.
- Solve.

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